Area: Finding Area on a Coordinate Plane

Which is the length of side AD?

4 units

Plot the vertices (-2, -8), (-2, 2), and (8, 2). What is the last vertex of the rectangle? What is the area of the rectangle?

(8, -8) 100 Square Units

Shelbi is drawing plans for a garden, measured in feet, which is shown on the coordinate plane, What is the area of Shelbi's garden in square feet?

32 Square feet

Daniella is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Daniella has two vertices of the garden at points (-3,-1) and (4, -1). At which points should Daniella have the other two vertices in order to make the area of her garden 35 square feet?

(-3, 4) and (4,4)

Which could be the dimensions of a rectangle with an area of 60 square units?

1 by 60 units 4 by 15 units 10 by 6 units

Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. How much soil will she need to cover the garden?

24 ft2

What is the area of a rectangle with vertices (2, 3), (9, 3), (9, -2), and (2,-2)?

35 square units

Plot a rectangle with vertices (-1, -4), (-1, 6), (3, 6), and (3, -4). What is the length of the base of the rectangle?

4 units

What is the area of a rectangle with vertices (-1, -4), (-1, 6), (3, 6), and (3, -4)?

40 square units

What is the length of line segment CD with endpoints (-3, 2) and (2, 2) as shown on the coordinate plane?

5 units

What is the length of line segment BC with endpoints (-4, 3) and (-4,-4) as shown on the coordinate plane?

7 units

What is the length of line segment BC with endpoints (-4,3) and (-4,-4) as shown on the coordinate plane?

7 units

A rectangle has vertices at (-3, 2), (7, 2), (7, -5), and (-3,-5). Jordan says the area of the rectangle is 70 square units. Steps Jordan's Work Step 1 Base: -3+7=10 Step 2 Height: -5+2=7 Step 3 Area: 10x7=70 square units Which is true of Jordan's solution?

Jordan correctly found the area of the rectange by multiplying the base and the height.

A rectangular plot of land has vertices located at (2, 8), (2, 2), (-4, 2), and (-4, 8). Melissa says the area is 36 square units. What do you think about Melissa's solution?

Melissa is correct.

Explain how to use a coordinate plane to find the area of a rectangle with vertices (-4, 9), (-4, -3), (-1, -3), and (-1, 9). What is the area?

Sample response: Plot each point in the coordinate plane. Find the distance between points to find that the base is 3 units and the height is 12 units. Apply the area formula, A = bh. 3 x 12 = 36 square units.

A rectangle has vertices at (-1, 6), (-1-2), (3, 6), and (3, -2). Sara says the area of the rectangle is 16 square units and her work is shown below. Steps Sara's Work Step 1 Base -1+3=4 Step 2 Height: 6+2=4 Step 3 Area: 4x4=16 square units Where, if at all, did Sara first make a mistake in finding the area of the rectangle? Where, if at all, did Sara first make a mistake in finding the area of the rectangle?

Step 2

A rectangle has vertices at (-2, 11), (-2, 4), (6, 11), and (6, 4). Pablo says the area of the rectangle is 49 square units and his work is shown below. Steps Pablo's Work Step 1 Base: -2+6=8 Step 2 Height: 11-4=7 Step 3 Area: 8x7=49 square units Where, if at all, did Pablo first make a mistake finding the area of the rectangle?

Step 3

Find the base and height of a rectangle with vertices (-4, 7), (-2, 7), (-2, 1), and (-4, 1).

The Height is 6 units The Base is 2 units

What is the area of the rectangle shown on the coordinate plane?

16 square units

What is the area of the rectangle shown on the coordinate plane?

21 square units

What is the length of side AB with endpoints A(-5, 3) and B(4, 3)?

9 Units

Which expression can you use to find the area of the rectangle?

9X4

What are the dimensions of the rectangle shown on the coordinate plane?

The base is 5 units and the height is 4 units.

A rectangle on a coordinate plane has vertices Q(-1, 1), R(6, 1), S(6, -2), and T(-1,-8). What are the dimensions of the rectangle?

The base is 7 and the height is 9.

A rectangle on a coordinate plane has vertices L(0, 6), M(8, 6), N(8, 0), and O(0, 0). What are the dimensions of the rectangle? The base is 6 and the height is 8. The base is 8 and the height is 6. The base is 6 and the height is 6. The base is 8 and the height is 8.

The base is 8 and the height is 6.